Solvability of certain inverse problems for the nonstationary kinetic transport equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 9, pp. 1622-1627
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Linear and nonlinear inverse problems for the nonstationary multispeed anisotropic kinetic transport equation are studied. Sufficient conditions for the existence and uniqueness of weak solutions to these problems in various function spaces are found. The proofs of the corresponding theorems imply that solutions of the inverse problems under study can be obtained by applying the method of successive approximations.
@article{ZVMMF_2016_56_9_a7,
author = {N. P. Volkov},
title = {Solvability of certain inverse problems for the nonstationary kinetic transport equation},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1622--1627},
publisher = {mathdoc},
volume = {56},
number = {9},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_9_a7/}
}
TY - JOUR AU - N. P. Volkov TI - Solvability of certain inverse problems for the nonstationary kinetic transport equation JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2016 SP - 1622 EP - 1627 VL - 56 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_9_a7/ LA - ru ID - ZVMMF_2016_56_9_a7 ER -
%0 Journal Article %A N. P. Volkov %T Solvability of certain inverse problems for the nonstationary kinetic transport equation %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2016 %P 1622-1627 %V 56 %N 9 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_9_a7/ %G ru %F ZVMMF_2016_56_9_a7
N. P. Volkov. Solvability of certain inverse problems for the nonstationary kinetic transport equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 9, pp. 1622-1627. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_9_a7/